18.085 Homework 3 MATLAB problem For the matrices of MATLAB 1, using 3 ±rst diﬀerences for − du + u , ±nd the eigenvalues of all three for h = 1 / 11. Then do the same with d = 1 / 25 reduced to d = . 01. You can reduce d more if you want. I am expecting

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Unformatted text preview: bad/good to be somehow identi±ed by the eigenvalues—and maybe by the eigenvectors too ! You could use [V,E]=eig( ) and ±nd the the singular values of V to see how far the eigenvectors are from orthogonal. The sin-gular values are sqrt(eig(V’*V)) and the ratio of largest to smallest is the condition number of V . 1...
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